In a study of the accuracy of fast food drive-through orders, one restaurant had 36 orders that were not accurate among 322 orders observed. Use a 0.01 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable?

Given that in a study of the accuracy of fast food drive-through orders, one restaurant had 36 orders that were not accurate among 322 orders observed.

Sample proportion = 36/322= 0.112

Hypotheses would be:

[tex]H_0:p=0.10\\H_a: p\neq 0.10[/tex]

(two tailed test at 1% significance level)

p difference = 0.012

Std error = [tex]\sqrt{\frac{0.1*0.9}{322} } \\=0.017[/tex]

Test statistic = [tex]\frac{0.012}{0.017} \\=0.706[/tex]

p value = 0.48

since p >0.01 we accept null hypothesis

The accuracy rate appears to be acceptable as only 10% are not accurate.

In a study of the accuracy of fast food​ drive-through orders, one restaurant had 36 orders that were not accurate among 322 orders observed. Use a 0.01 significance level to test the claim that the rate of inaccurate orders is equal to​ 10%. Does the accuracy rate appear to be​ acceptable?

Respuesta :

Otras preguntas

In a study of the accuracy of fast food drive-through orders, one restaurant had 36 orders that were not accurate among 322 orders observed. Use a 0.01 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable?